question_answer

In the circuits  and  switches \[{{S}_{1}}\] and \[{{S}_{2}}\] are closed at t = 0 and are kept closed for a long time. '1'he variation of currents in the two circuits for \[t\ge 0\] are roughly shown by (figures are schematic and not drawn to scale) : JEE Main Online Paper (Held On 10 April 2015)

A)

B)

C)

D)

Correct Answer: B

Solution :

                 Circuit a -- \[i={{i}_{0}}{{e}^{-t/RC}}\]for b \[i={{i}_{0}}\left( 1-{{e}^{-t/L/R}} \right)\] so